Brill-Noether geometry on moduli spaces of spin curves

Details Brill-Noether geometry on moduli spaces of spin curves Brill-Noether geometry on moduli spaces of spin curves

2010-05-06

arxiv.org/abs/1005.0933v1

Mathematics

Algebraic Geometry

15 pages. To appear in "Classification of algebraic varieties", Schiermonnikoog 2009, (Faber, van der Geer, Looijenga-Editors)

Scientific paper

We develop a theory of Brill-Noether divisors on the moduli space of stable
spin curves of genus g, and compute the classes of these loci. A spin
Brill-Noether cycle is defined in terms of the relative position of the spin
structure with respect to certain Raynaud theta-divisors in the Jacobian of the
curve.

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